Help me in arranging polynomials in ascending/descending order?

Question

I'm kind of confused. I have this math book on polynomials and it says that if the sign of subtraction is used, the number after it is made negative and the sign will be made to the sign of addition. But then, my schoolmates say to just arrange the terms in ascending/descending order and copy the signs. (I know no one gets it, so here's an example.)

My book says:

5y + 3y^3 - 5 arranged in ascending/descending order is:

a.) (-5) + 5y + 3y^3
b.) 3y^3 + 5y + (-5)

My schoolmates say:
5y + 3y^3 - 5 arranged in ascending/descending order:

a.) 5 + 5y - 3y^3
b.) 3y^3 + 5y - 5

Which one is correct? :/

Answer 1

when dealing with subtraction its is best to make it addition like the book says so you allowed to move the order around with your example i going to set y=1



by your schoolmates

A) 5+5(1)-3(1)

5+5-3

7



B)3(1)+5(1)-5

3+5-5

3



you not get same number

Answer 2

The first arrangement is correct, because polynomials are be default arranged in descending order, which means the power of variable will reduce and in the end only constant will remain.



so, in DESCENDING Order



-5 + 5y + 3y^3



and in ASCENDING Order



3y^3 + 5y - 5





If I m correct, the text you quoted from your textbook would be about the power of the polynomial.

Answer 3

My best best guess would have to be the second cause well it's been awhile since i took algebra but if I had to guess I'd go with

A.)5 + 5y - 3y^3

b.)3y^3 + 5y - 5